American Journal of Mathematical and Computer Modelling

Archive

Volume 6, Issue 2, June 2021

  • Numerical Solution of Linear and Nonlinear Integral Equations Via Improved Block-Pulse Functions

    Mahmoud Hamed Taha, Mohamed Abdel-Latif Ramadan, Galal Mahrous Moatimid

    Issue: Volume 6, Issue 2, June 2021
    Pages: 19-34
    Received: 6 March 2021
    Accepted: 22 March 2021
    Published: 26 May 2021
    DOI: 10.11648/j.ajmcm.20210602.11
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    Abstract: This paper is concerned with a numerical method based on the improved block-pulse basis functions (IBPFs). It is done mainly to solve linear and nonlinear Volterra and Fredholm integral equations of the second kind. These equations can be simplified into a linear system of algebraic equations by using IBPFs and their operational matrix of integrati... Show More
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  • Radial Basis Functions Based Differential Quadrature Method for One Dimensional Heat Equation

    Kedir Aliy, Alemayehu Shiferaw, Hailu Muleta

    Issue: Volume 6, Issue 2, June 2021
    Pages: 35-42
    Received: 28 March 2021
    Accepted: 11 May 2021
    Published: 26 May 2021
    DOI: 10.11648/j.ajmcm.20210602.12
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    Abstract: In this paper, Radial basis functions based differential quadrature method has been presented for solving one-dimensional heat equation. First, the given solution domain is discretized using uniform discretization grid point in both direction and the derivative involving the spatial variable, x is replaced by the sum of the weighting coefficients t... Show More
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